Author_Institution :
School of Automation, Huazhong University of Science and Technology, Key Laboratory of Image Processing and Intelligent Control, Ministry of Education, Wuhan 430074, China
Abstract :
This paper proposes a systematically method for generating high-dimensional grid multi-scroll attractors (GMSAs), including 3-D, 4-D, 5-D and even higher-dimensional GMSAs. Firstly, based on a third-order linear system, higher-order linear systems are constructed by introducing state feedback controllers. Then, switching piecewise linear (PWL) functions, including stair function and saturated series function, are introduced, respectively, to make the higher-order systems generate high-dimensional GMSAs. Besides, some basic dynamical properties of GMSA systems are investigated and numerical simulations are given to demonstrate the feasibility of the proposed method.
